Quantum Corrections to the Thermodynamics of Black Branes

TL;DR

This paper investigates quantum-scale corrections to black brane thermodynamics, revealing modifications to entropy, stability, and other thermodynamic properties, and deriving the quantum-corrected metric.

Contribution

It provides a comprehensive analysis of both perturbative and non-perturbative quantum corrections to black brane thermodynamics and derives the quantum-corrected geometry.

Findings

Quantum corrections alter the entropy-area relation.

These corrections impact the stability and specific heat of black branes.

The quantum-corrected metric for black branes is obtained.

Abstract

In this paper we study the thermodynamics of black branes at quantum scales. We analyze both perturbative and non-perturbative corrections to the thermodynamics of such black branes. It will be observed that these corrections will modify the relation between the entropy and area of these black branes. This will in turn modify their specific heat, and thus their stability. So, such corrections can have important consequences for the stability of black branes at quantum scales. We also analyze the effect of these perturbative and non-perturbative quantum corrections on various other thermodynamic quantities. Then, we obtain the metric for the quantum corrected geometry for black branes.